noble dame, 1959 © succession picasso / vg bild-kunst, bonn 2001 sibylla von cleve als braut, lukas...
TRANSCRIPT
Noble dame, 1959© Succession Picasso / VG Bild-Kunst, Bonn 2001
Sibylla von Cleve als Braut,Lukas Cranach d. Ä. (1472-1553)
Visualization is important!
0.00E+00 9.00E+03 0.00E+00 1.10E-09 -2.89E-09 0 10 971 1.00E+19 3.00E-05 2.98E+02 1.99E+03 1.00E+031.00E+03 9.00E+03 0.00E+00 1.10E-09 -2.69E-09 0 41 1002 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.00E+03 9.00E+03 0.00E+00 1.10E-09 -2.49E-09 0 72 1033 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+033.00E+03 9.00E+03 0.00E+00 1.10E-09 -2.29E-09 0 103 1064 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+034.00E+03 9.00E+03 0.00E+00 1.10E-09 -2.09E-09 0 134 1095 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+035.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.89E-09 0 165 1126 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+036.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.69E-09 0 196 1157 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+037.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.49E-09 0 227 1188 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+038.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.29E-09 0 258 1219 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+039.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.10E-09 0 289 1250 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+031.00E+04 9.00E+03 0.00E+00 1.10E-09 -8.96E-10 0 320 1281 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+031.10E+04 9.00E+03 0.00E+00 1.10E-09 -6.97E-10 0 351 1312 1.00E+19 3.00E-05 3.15E+02 0.00E+00 1.00E+031.20E+04 9.00E+03 0.00E+00 1.10E-09 -4.98E-10 0 382 1343 1.00E+19 3.01E-05 3.81E+02 0.00E+00 1.00E+031.30E+04 9.00E+03 0.00E+00 1.10E-09 -2.99E-10 0 413 1374 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.40E+04 9.00E+03 0.00E+00 1.10E-09 -9.96E-11 0 444 1405 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.50E+04 9.00E+03 0.00E+00 1.10E-09 9.96E-11 0 475 1436 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.60E+04 9.00E+03 0.00E+00 1.10E-09 2.99E-10 0 506 1467 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.70E+04 9.00E+03 0.00E+00 1.10E-09 4.98E-10 0 537 1498 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.80E+04 9.00E+03 0.00E+00 1.10E-09 6.97E-10 0 568 1529 1.00E+19 3.01E-05 3.81E+02 0.00E+00 1.00E+031.90E+04 9.00E+03 0.00E+00 1.10E-09 8.96E-10 0 599 1560 1.00E+19 3.00E-05 3.15E+02 0.00E+00 1.00E+032.00E+04 9.00E+03 0.00E+00 1.10E-09 1.10E-09 0 630 1591 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.10E+04 9.00E+03 0.00E+00 1.10E-09 1.29E-09 0 661 1622 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.20E+04 9.00E+03 0.00E+00 1.10E-09 1.49E-09 0 692 1653 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.30E+04 9.00E+03 0.00E+00 1.10E-09 1.69E-09 0 723 1684 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.40E+04 9.00E+03 0.00E+00 1.10E-09 1.89E-09 0 754 1715 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.50E+04 9.00E+03 0.00E+00 1.10E-09 2.09E-09 0 785 1746 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.60E+04 9.00E+03 0.00E+00 1.10E-09 2.29E-09 0 816 1777 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.70E+04 9.00E+03 0.00E+00 1.10E-09 2.49E-09 0 847 1808 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.80E+04 9.00E+03 0.00E+00 1.10E-09 2.69E-09 0 878 1839 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.90E+04 9.00E+03 0.00E+00 1.10E-09 2.89E-09 0 909 1870 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+033.00E+04 9.00E+03 0.00E+00 1.10E-09 0.00E+00 0 940 1901 1.00E+19 3.00E-05 2.98E+02 2.02E+03 1.00E+03
0.00E+00 9.00E+03 0.00E+00 1.10E-09 -2.89E-09 0 10 971 1.00E+19 3.00E-05 2.98E+02 1.99E+03 1.00E+031.00E+03 9.00E+03 0.00E+00 1.10E-09 -2.69E-09 0 41 1002 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.00E+03 9.00E+03 0.00E+00 1.10E-09 -2.49E-09 0 72 1033 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+033.00E+03 9.00E+03 0.00E+00 1.10E-09 -2.29E-09 0 103 1064 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+034.00E+03 9.00E+03 0.00E+00 1.10E-09 -2.09E-09 0 134 1095 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+035.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.89E-09 0 165 1126 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+036.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.69E-09 0 196 1157 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+037.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.49E-09 0 227 1188 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+038.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.29E-09 0 258 1219 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+039.00E+03 9.00E+03 0.00E+00 1.10E-09 -1.10E-09 0 289 1250 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+031.00E+04 9.00E+03 0.00E+00 1.10E-09 -8.96E-10 0 320 1281 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+031.10E+04 9.00E+03 0.00E+00 1.10E-09 -6.97E-10 0 351 1312 1.00E+19 3.00E-05 3.15E+02 0.00E+00 1.00E+031.20E+04 9.00E+03 0.00E+00 1.10E-09 -4.98E-10 0 382 1343 1.00E+19 3.01E-05 3.81E+02 0.00E+00 1.00E+031.30E+04 9.00E+03 0.00E+00 1.10E-09 -2.99E-10 0 413 1374 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.40E+04 9.00E+03 0.00E+00 1.10E-09 -9.96E-11 0 444 1405 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.50E+04 9.00E+03 0.00E+00 1.10E-09 9.96E-11 0 475 1436 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.60E+04 9.00E+03 0.00E+00 1.10E-09 2.99E-10 0 506 1467 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.70E+04 9.00E+03 0.00E+00 1.10E-09 4.98E-10 0 537 1498 1.00E+19 3.01E-05 3.98E+02 0.00E+00 1.00E+031.80E+04 9.00E+03 0.00E+00 1.10E-09 6.97E-10 0 568 1529 1.00E+19 3.01E-05 3.81E+02 0.00E+00 1.00E+031.90E+04 9.00E+03 0.00E+00 1.10E-09 8.96E-10 0 599 1560 1.00E+19 3.00E-05 3.15E+02 0.00E+00 1.00E+032.00E+04 9.00E+03 0.00E+00 1.10E-09 1.10E-09 0 630 1591 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.10E+04 9.00E+03 0.00E+00 1.10E-09 1.29E-09 0 661 1622 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.20E+04 9.00E+03 0.00E+00 1.10E-09 1.49E-09 0 692 1653 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.30E+04 9.00E+03 0.00E+00 1.10E-09 1.69E-09 0 723 1684 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.40E+04 9.00E+03 0.00E+00 1.10E-09 1.89E-09 0 754 1715 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.50E+04 9.00E+03 0.00E+00 1.10E-09 2.09E-09 0 785 1746 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.60E+04 9.00E+03 0.00E+00 1.10E-09 2.29E-09 0 816 1777 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.70E+04 9.00E+03 0.00E+00 1.10E-09 2.49E-09 0 847 1808 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.80E+04 9.00E+03 0.00E+00 1.10E-09 2.69E-09 0 878 1839 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+032.90E+04 9.00E+03 0.00E+00 1.10E-09 2.89E-09 0 909 1870 1.00E+19 3.00E-05 2.98E+02 0.00E+00 1.00E+033.00E+04 9.00E+03 0.00E+00 1.10E-09 0.00E+00 0 940 1901 1.00E+19 3.00E-05 2.98E+02 2.02E+03 1.00E+03
Analyze this !
Numerical modeling without visualization
Unsenso
red !
Typical numerical model !
400oC800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
1200oC
Numerical modeling with visualization
Temperature
Bulk Strain
Viscosity
400oC800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
1200oC
400oC800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Numerical model: 1600 x 600 km
400oC800oC
1200oC
1400oC
Weak zone
Lithosphere
Asthenosphere
1600oC
Mantleplumeupwelling
Slab push
Slab pull
1400oC
дP/дx = (P2-P1)/x
P1 P2x
Finite differencesT
Combination of finite-differences, on staggered grid , and
the moving marker technique
Method of numerical solutionoriginal code I2VIS
(Gerya & Yuen, 2003, PEPI)
Marker technique
Staggered grid
Geologyin multiple-scale
Massonne et al., (1999)
Regional scale
Local scale
Diamond bearing inclusions in garnet
(after Stöckhert et al., 2001)
Microscopic scale
After Massonne et al. (1999), Stöckhert et al. (2001) P-T path
Krohe (1996) Franke (1989)
Plate scale
Global scale
Zulauf (1997)
Subduction
Subduction+Collision
Collision
Delamination+detachment+underplating
Regional scale
Numerical model in multiple-scale
Zoom-In:numerical
“microscope”
400 km
80 601 nodes50 million markers
200
km
air
gabbro
basalt
sediments
serpentinite
40 km
20
km
5
6 km4 k
m
Zoom-In:numerical
“microscope”
1 billion markers model
Multiple-scale visualization
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
400oC800oC
1200oC
200oC
400oC
600oC
800oC1000oC
1200oC
15.7 Myr890 x 470 km
370 x 200km PowerPoint-based
Numerical model: 1600 x 600 km
High resolution region: 370 x 200km
400oC800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
1400oC
Lithosphere
Asthenosphere
1600oC
Slab push
Slab pull
1400oC
Continental crustOceanic crustSediments
Rock samples Numerical model(full convection solution)
12 141 nodes428 400 markers
Hot mantleupwelling
Hot mantleupwelling
Lithosphere
Asthenosphere
Continental crustOceanic crust
Subducting slab
Overridingplate
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
0 Myr
890 x 470 km
370 x 200km
400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Initial configuration
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
3.1 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Subductionunder the
continental margin
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
7.7 Myr400oC
800oC
1200oC
200oC400oC
600oC
800oC
1000oC
Subductionunder the
continental margin
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
11.3 Myr400oC
800oC
1200oC
200oC400oC
600oC
800oC
1000oC
Subductionunder the
continental margin
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
15.0 Myr400oC
800oC
1200oC
200oC400oC
600oC
800oC
1000oC
Subductionunder the
continental margin
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
18.9 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Subductionunder the
continental margin
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
22.7 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Subductionunder the
continental margin
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
25.3 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Transition to collision
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
26.2 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Transition to collision
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
27.0 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Collision
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
27.7 Myr400oC
800oC
200oC
400oC
600oC
800oC
1000oC
Collision
~160 km (bottom of the
lithosphere)
1200oC
~160 km
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
28.3 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Collision,Delamination
Slab delamination
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
28.9 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Collision,Delamination,
Necking
Slab delamination
Slab necking
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
29.4 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Collision,Necking
Slab necking
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
29.8 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating
Mantle underplating
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
30.3 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating
Mantle underplating
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
30.7 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating
Mantle underplating
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
30.9 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
31.2 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
31.5 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
31.8 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating,
Domal structures
Domal structure growth
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
32.1 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating,
Domal structures
Domal structures growth
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
32.4 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating,
Domal structures
Domal structures growth
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
32.6 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating,
Domal structures
Domal structures growth
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
32.9 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating,
Domal structures
Domal structures growth
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
33.3 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Extension,Detachment,Underplating,
Domal structures
Domal structures growth
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
4.5
0 100 200 300 400 500 600 700
T, oC
P, G
Pa
Dia
mo
nd
Gra
ph
ite
33.6 Myr400oC
800oC
1200oC
200oC
400oC
600oC
800oC
1000oC
Domal structures growth
The End
40 km
Subducting plate
Accretion wedge Subduction channel
Overriding plate
Mantle wedge
Bulk strainstructure
80 601 nodes2 000 000 markers400x200 km
Amira-based
WEB-IS-based
Rudolph et al. (2004)
3D-Visualization
MatLab-based
kg/m3
Rock types + isotherms
Temperature
Mantle density